2011020002101 has 16 divisors (see below), whose sum is σ = 2276342834688. Its totient is φ = 1760058777600.

The previous prime is 2011020002011. The next prime is 2011020002107. The reversal of 2011020002101 is 1012000201102.

It is not a de Polignac number, because 2011020002101 - 2⁷ = 2011020001973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011020002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15212476 + ... + 15344101.

It is an arithmetic number, because the mean of its divisors is an integer number (142271427168).

Almost surely, 2^{2011020002101} is an apocalyptic number.

It is an amenable number.

2011020002101 is a deficient number, since it is larger than the sum of its proper divisors (265322832587).

2011020002101 is a wasteful number, since it uses less digits than its factorization.

2011020002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30556812.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011020002101 its reverse (1012000201102), we get a palindrome (3023020203203).

The spelling of 2011020002101 in words is "two trillion, eleven billion, twenty million, two thousand, one hundred one".